1020220222112 has 192 divisors, whose sum is σ = 2503350259200. Its totient is φ = 400901529600.

The previous prime is 1020220222079. The next prime is 1020220222121. The reversal of 1020220222112 is 2112220220201.

It is a happy number.

1020220222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020220222112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74304464 + ... + 74318192.

It is an arithmetic number, because the mean of its divisors is an integer number (13038282600).

Almost surely, 2^{1020220222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251675129600).

1020220222112 is an abundant number, since it is smaller than the sum of its proper divisors (1483130037088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020220222112 is a wasteful number, since it uses less digits than its factorization.

1020220222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1020220222112 its reverse (2112220220201), we get a palindrome (3132440442313).

The spelling of 1020220222112 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".